The number 50358
50358 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 11 × 109. Divisors (32): 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 109, 154, 218 … 50358.
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How to work it out
- 1
What is special about 50358: a Harshad number: divisible by its digit sum 21.
- 2
50358 is composite. Its prime factorisation is
- 3
The divisors add up to 126720; without 50358 itself that is 76362, so 50358 is abundant (76362 is more than 50358). Euler's totient φ(50358) = 12960 numbers up to 50358 share no factor with it.
- 4
The digits of 50358 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50358 = 2 \times 3 \times 7 \times 11 \times 109 \]
50358 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 126720 |
| Euler totient φ(n) | 12960 |
| Square | 2535928164 |
| Cube | 127704270482712 |
| Square root | 224.405882 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.0358 × |
50358 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand three hundred and fifty-eight |
| Binary (base 2) | 1100010010110110 |
| Octal (base 8) | 142266 |
| Hexadecimal (base 16) | C4B6 |
| Base 3 | 2120002010 |
| As time | 50358 seconds = 13 h 59 min 18 s |
Is 50358 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50358 ÷ 2 = 25179) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50358 ÷ 3 = 16786) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50358 ÷ 6 = 8393) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50358 ÷ 7 = 7194) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (50358 ÷ 11 = 4578) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50358 a prime number?
No. 50358 = 2 × 3 × 7 × 11 × 109, so it is divisible by 2.
What are the factors of 50358?
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 109, 154, 218, 231, 327, 462, 654, 763, 1199, 1526, 2289, 2398, 3597, 4578, 7194, 8393, 16786, 25179, 50358.
What is 50358 in binary?
1100010010110110 (hexadecimal C4B6, octal 142266).
What is the square root of 50358?
About 224.4059.
Is 50358 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 50358?
50358 is a Harshad number: divisible by its digit sum 21.